21066312960 has 1296 divisors, whose sum is σ = 97710133248. Its totient is φ = 4087480320.

The previous prime is 21066312941. The next prime is 21066312961. The reversal of 21066312960 is 6921366012.

It is a happy number.

21066312960 is a `hidden beast` number, since 2 + 10 + 6 + 631 + 2 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21066312961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 165876417 + ... + 165876543.

Almost surely, 2^21066312960 is an apocalyptic number.

21066312960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21066312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48855066624).

21066312960 is an abundant number, since it is smaller than the sum of its proper divisors (76643820288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21066312960 is a wasteful number, since it uses less digits than its factorization.

21066312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 21066312960 its reverse (6921366012), we get a palindrome (27987678972).

The spelling of 21066312960 in words is "twenty-one billion, sixty-six million, three hundred twelve thousand, nine hundred sixty".